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Expand the integral $\int\left(ut-\frac{5}{2}t\right)dt$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
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$\int utdt+\int-\frac{5}{2}tdt$
Learn how to solve problems step by step online. Integrate the function ut-5/2t from 0 to infinity. Expand the integral \int\left(ut-\frac{5}{2}t\right)dt into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int utdt results in: \frac{1}{2}ut^2. The integral \int-\frac{5}{2}tdt results in: -\frac{5}{4}t^2. Gather the results of all integrals.